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Finding the Fourth Proportional to 160,493.82, 221,553 and 106,078.77

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Solution

The fourth proportional to 160,493.82, 221,553 and 106,078.77 is: 146,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,493.82 : 221,553 = 106,078.77 : x
  2. Step 2: Convert to fraction form
    160,493.82/221,553 = 106,078.77/x
  3. Step 3: Cross multiply
    160,493.82x = 221,553 × 106,078.77
  4. Step 4: Simplify right side
    160,493.82x = 23,502,069,729.81
  5. Step 5: Solve for x
    x = 23,502,069,729.81/160,493.82
  6. Step 6: Final answer
    x = 146,435.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.